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Finding the Third Proportional to 1,977,870,256 and 4,118,510,976

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Solution

The third proportional to 1,977,870,256 and 4,118,510,976 is: 8,575,958,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977,870,256 : 4,118,510,976 = 4,118,510,976 : x
  2. Step 2: Convert to fraction form
    1,977,870,256/4,118,510,976 = 4,118,510,976/x
  3. Step 3: Cross multiply
    1,977,870,256x = 4,118,510,976 × 4,118,510,976
  4. Step 4: Simplify right side
    1,977,870,256x = 16,962,132,659,432,472,576
  5. Step 5: Solve for x
    x = 16,962,132,659,432,472,576/1,977,870,256
  6. Step 6: Final answer
    x = 8,575,958,209.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.